Answers
Answer:
C. x = 1 + 3i or x = 1 - 3i
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Algebra II
Imaginary Roots: √-1 = iStep-by-step explanation:
Step 1: Define
x² - 2x + 10 = 0
Step 2: Identify Variables
a = 1
b = -2
c = 10
Step 3: Find roots
Substitute [Quad Formula]: [tex]x=\frac{2\pm\sqrt{(-2)^2-4(1)(10)} }{2(1)}[/tex]Exponents: [tex]x=\frac{2\pm\sqrt{4-4(1)(10)} }{2(1)}[/tex]Multiply: [tex]x=\frac{2\pm\sqrt{4-40} }{2}[/tex]Subtract: [tex]x=\frac{2\pm\sqrt{-36} }{2}[/tex]Factor: [tex]x=\frac{2\pm\sqrt{-1} \sqrt{36} }{2}[/tex]Simplify: [tex]x=\frac{2\pm6i }{2}[/tex]Factor: [tex]x=\frac{2(1\pm3i) }{2}[/tex]Divide: [tex]x=1\pm3i[/tex]Related Questions
What is the range of the graphed function?
{x |1< x < 5)
{y |1 < y <5}
{x | x is a real number}
{y|y is a real number}
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
Given the expression
[tex]V=\sqrt[3]{x-1}+3[/tex]
Determining the domain:
We know that the domain of a function is the set of input values for which the function is defined.
From the given graph, it is clear that the function has no undefined points nor domain constraints.
Therefore, the domain is:
{x | x is a real number}In other words:
[tex]\mathrm{Domain\:of\:}\:\sqrt[3]{x-1}+3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
Determining the range:
We know that the range of a function is the set of values of the dependent variable for which a function is defined.
It is clear from the graph that the range can be any real number.
i.e. the range is:
{y|y is a real number}
In other words,
[tex]\mathrm{Range\:of\:}\sqrt[3]{x-1}+3:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
Why is the first step when solving
2x – 15 - 4x = 3 to combine like terms?
Answers
Answer:
-9 is the final answer
Step-by-step explanation:
2x-4x=-2x
so the equation would be -2x-15=3
add 15 to both sides -2x=18
divide both sides by -2
The LCM of 4, 9, and 10 is _______.
36
180
40
90
Answers
Answer:
180
Step-by-step explanation:
Multiples of 4:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188
Multiples of 9:
9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198
Multiples of 10:
10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200
Stay safe and Merry Christmas! :)
Answer:
the answer is 180
Step-by-step explanation:
There are 400 marbles in a bag. 60 of the marbles are blue. What percent of the marblesare not blue?
Answers
Answer:
80%
Step-by-step explanation:
400-60= 320
320 is 80% of 400
98 x 1/10
help me out, please.
Answers
Answer:
9 4/5
Step-by-step explanation:
Answer: 9.8
Step-by-step explanation:
A line has slope m=3/4 and passes through the point (0,-5) what is the equation of the line?
Answers
Pls help me it is a simple function
Answers
Answer:
blank 1 = 4
blank 2 = 1
Step-by-step explanation:
The slope is how much the y changes for each x value.
have a great day!!!
Can someone answer my English question, please :/ I will mark you brainliest
Answers
Answer:
Step-by-step explanation:
what is 25 rounded to the hundreds place
Answers
Answer:
0
Step-by-step explanation:
because if the number is not higher than 50, you have to round down.
HELP 17 POINTS Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. What value of p makes the equation true?
Answers
Answer:
0.125
Step-by-step explanation:
First, remove the 1/8 by subtracting 1/8 on both sides
-3p = -3/8
Then, isolate the variable by diving each side by -3
p = 0.125
Answer:
0.125
Step-by-step explanation:
did the test and got it right!!
To the nearest tenth, what is the value of x?
A. 3.5
B. 4.8
C. 5.9
D. 7.3
E. 9.8
Answers
Answer:
D, I think, pls don't report if im wrong
Step-by-step explanation:
Which expression can be used to find the product of 320? (3 points)
0 (3 x 2) × (3 x 5)
(3 x 9) * (3 x 5)
(4 x 7) x (2 x 5)
(4 x 8) X (2 x 5)
Will be marked!
Answers
Answer:
( 4 x 8) x (2 x 5)
32 x 10
320
104÷16=
I really need help
Answers
Answer: 6.5, hope this helps you
Answer:
6.5
Step-by-step explanation:
A number "a" less than 20.
Answers
Answer:
19
Step-by-step explanation:
complete the table of values y = 2x + 3
Answers
Answer:
x=0 y =3x=1 y= 5x=2 y= 7Step-by-step explanation:
for first,
1. let's take x = 0then solving this we get
y=32. take x=1 then y = 53. take x= 2 then y=7Susan and Kelvin each receive $100
$
100
as a gift.
Part A
Susan buys a movie ticket for $12.50
$
12.50
and 3
3
buckets of popcorn that cost $14.20
$
14.20
each with her $100
$
100
. Which statement is true?
Answers
Answer:
c
Step-by-step explanation:
you don’t even have to give the answer just please explain
Answers
Answer:
1/2
Step-by-step explanation:
remember that the formula for the slope of a line is
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
where m is the slope, and the x and y variables are the x-y coordinates of two points. Choose two points on the line:
Point 1 : (-1,3) and Point 2 : (1,4)
Plug in your values:
[tex]m=\frac{4-3}{1-(-1)}[/tex]
[tex]m=\frac{1}{2} \\[/tex]
So the slope of this line is 1/2 !
Answer: The slope is [tex]\frac{1}{2}[/tex].
Here is a visual explanation when you use a graph instead of ordered pairs:
Which relation is not a function?
Answers
In D. the x value nine repeats.
Therefore the answer is D.
Using a layaway plan, Bill bought a set of golf clubs for $1700. He has 6 months to pay off his balance after paying a down payment. The store does not charge a fee for their program. If Bill makes payments of $201 a month, how much did he need to use as a down payment in order to pay for the clubs
Answers
Answer:
$494
Step-by-step explanation:
Given that:
Cost of golf club = $1700
Number of months taken to balance payment after down payment = 6 months
Amount paid per month = $201
The down payment made :
Cost of golf clubs - (monthly payment * number of months)
$1700 - ($201 * 6)
$1700 - $1206
= $494
Hence, the downpayment made = $494
The price of a printer increased by 8% to $777.60. Find the usual price of the printer.
Answers
£50 is divided between Krutika, Natasha & Richard so that Krutika gets twice as much as Natasha, and Natasha gets three times as much as Richard. How much does Krutika get?
Answers
Answer:
£30
Step-by-step explanation:
→ Model the situation in terms of x
Richard = x, Natasha = 3x and Krutika = 6x
→ Now put the values into ratio form
6x : 3x : x = 50
→ Collect the x terms
10x = 50
→ Divide both sides by 10 to isolate
x = 5
→ Substitute x = 5 into Krutika
6 × 5 = 30
Answer:
£30
Step-by-step explanation:
Let's break down the information given to help us find how much Krutika gets.
"Natasha gets three times as much as Richard" - We can express the value that Natasha gets as [tex]3r[/tex] in terms of what Richard gets.
"Krutika gets twice as much as Natasha" - We can express this as [tex]2(3r)[/tex] which equals [tex]6r[/tex].
We know that the total money is £50, so we can write the equation:
[tex]r+3r+6r=50[/tex]
[tex]10r = 50[/tex]
[tex]r=5[/tex]
∴ Richard gets £5.
Since the money Krutika gets can be expressed as [tex]6r[/tex]:
[tex]6(5) = 30[/tex]
∴ Krutika gets £30.
Hope this helps :)
Work out 4/5 - 1/5 9/11 + 5/11 3/4+ 1/8
Answers
Decimal: 1.17865691489
Fraction: 97/88
Mixed Fraction: 1 9/88
I hope this helps you
Have an awesome weekend :)
Write an equation in point slope form of the line that passes through the point (2,-8) and had a slope of 4
Answers
Plug those in
Solution: y + 8 = 4(x - 2)
The equation of a line in point-slope form is (y + 8) = 4(x - 2).
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, A line passes through the point (x₁, y₁) ⇒ (2,-8) and had a slope of 4.
We know the equation of a line in point-slope form is (y - y₁) = m(x - x₁).
∴ The equation of this line is (y + 8) = 4(x - 2).
learn more about lines and slopes here :
https://brainly.com/question/3605446
#SPJ2
When a number is decreased by 4%, the result is 66. What is the original number to the nearest tenth?
Answers
Answer:
68.8
Step-by-step explanation:
100% = x number
96% = 66
so 100%
= 68.75
to the nearest tenth is 68.8
What is the unit rate for cats per dog if there's 72 cats and 12 dogs
Answers
Answer:
6 dogs
Step-by-step explanation:
72 divided by 12=6
Please mark brainliset
Answer:
6:1, 6/1, or 6 to 1
Step-by-step explanation:
72/12
72/12=6
12/12=1
6/1
Question 1 (2 points)
Jeff is purchasing a car for $29,175 that will depreciate in value 7.5% each year.
Write a function to model the value P of the carafter t years,
If he decides to sell the car after 6 years, what will be the value of his car? Express your answer as a decimal rounded to the nearest hundredth.
Answers
Answer:
p= 18,275
Step-by-step explanation:
The function would be p=29,175(-0.925)^t. You would then substitute t for 6 and solve from there to get p=18,275.
Did it help at all?
Given that 8x−4y=39
Find y when x=5
Give your answer as a fraction in its simplest form
Answers
Answer:
answer is 1/4 or One divided by four
Answer:
[tex]y=\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]8x-4y=39; x=5\\\\8(5)-4y=39\\\\40-4y=39\\\\40-40-4y=39-40\\\\-4y=-1\\\\\frac{-4y=-1}{-4}\\\\\boxed{y=\frac{1}{4}}[/tex]
Hope this helps.
What is the r-value of the following data to three decimal places?
Answers
Answer:
.953
Step-by-step explanation:
took it on a test and got it right
Answer:
.953
Step-by-step explanation:
Consider the triangle. Which statement is true about the length of the sides?
Each side has a different length.
Two sides have the same length, which is less than the length of the third side.
The three sides have the same length.
The sum of the lengths of two sides is equal to the length of the third side.
Answers
Answer:For this case we observe that the 2 angles of the triangle are equal. Also, we have by definition:
A triangle is , when the three sides are connected(in addition, the three internal angles measure 2 angles 45 degrees and 1 angle 90
Step-by-step explanation:
Brodie plans to ride his hoover board to a Xaiver's house which is 2 miles away. If the
average speed of the hoover board is 5 mph, how many minutes will it take him to get to
Xaiver's house?
Please help it’s timed
Answers
Answer:
2.5 minutes
Step-by-step explanation:
Dividing the average speed by distance will give you 2.5 which is the average speed the hoverboard goes assuming the hoverboard will travel at the same speed the answer is 2.5 minutes.